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Income Taxes (Narrative) (Details) - USD ($)
$ in Millions
12 Months Ended
Oct. 01, 2017
Oct. 02, 2016
Sep. 27, 2015
Sep. 28, 2014
Significant Change in Unrecognized Tax Benefits is Reasonably Possible [Line Items]        
Deferred Tax Assets, Operating Loss Carryforwards, Domestic $ 31.2      
Cumulative undistributed earnings of foreign subsidiaries and equity investees 3,700.0      
Tax credit carryforward 18.0      
Foreign net operating loss carryforwards 262.2      
Gross unrecognized tax benefits 196.9 $ 146.5 $ 150.4 $ 112.7
Unrecognized tax benefits affecting the effective tax rate if recognized 139.5      
Interest and penalties expense/(benefit) recognized in income tax expense 5.2 3.6 $ 0.7  
Accrued interest and penalties 11.2 $ 7.7    
Minimum [Member]        
Significant Change in Unrecognized Tax Benefits is Reasonably Possible [Line Items]        
Amount of reasonably possible unrecognized benefit change $ 42.0